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Finding the Third Proportional to 71,949 and 108,927

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Solution

The third proportional to 71,949 and 108,927 is: 164,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,949 : 108,927 = 108,927 : x
  2. Step 2: Convert to fraction form
    71,949/108,927 = 108,927/x
  3. Step 3: Cross multiply
    71,949x = 108,927 × 108,927
  4. Step 4: Simplify right side
    71,949x = 11,865,091,329
  5. Step 5: Solve for x
    x = 11,865,091,329/71,949
  6. Step 6: Final answer
    x = 164,909.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.